576/575

Interval information

Ratio	576/575
Subgroup monzo	2.3.5.23 [6 2 -2 -1⟩
Size in cents	3.008227¢
Name	worcester comma
Color name	23ugg1, twethugugu 1sn, Twethugugu comma
FJS name	[math]\displaystyle{ \text{d2}_{5,5,23} }[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	18.3373
Weil height (log2 max(n, d))	18.3399
Wilson height (sopfr(nd))	51
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.28233 bits
Comma size	unnoticeable
S-expression	S24
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576/575, the worcester comma, is a 23-limit superparticular comma of about 3 cents. It is the difference between two 6/5s and 23/16, as well as 24/23 and 25/24. By tempering it out is defined the worcester temperament, which enables the worcester chords.

Etymology

The name worcester was named by Kaiveran in 2023. The reasoning behind the name has unfortunately been forgotten.

Some speculative possibilities are that maybe it was named after the city of Worcester, England, or the city of Worcester, Massachusetts. Though it’s unclear how the comma relates to either of those places, so it’s possible it may have been named after something else entirely.

See also

• Unnoticeable comma
• List of superparticular intervals